PC 12 LG 4 Worksheet (Logarithmic Equations)
Solve for x exactly.
1.
log x = 2
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log 3 x + log 3 x = log 3 16
10.
log 4 = x log2
11.
log 9 16 = 4 log 9 x
12.
log 2 x + log 2 3 = 4
13.
log 3 x − log 3 2 = 2
14.
log 2 (log 3 x ) = 2
15.
log 2 x + log 2 ( x − 2) = log 2 8
16.
log 2 x + log 2 ( x − 2) = 3
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2.
log( x + 1) = −1
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3.
log(log x ) = 1
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4.
log1000 = x
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5.
2log 3 x = 4
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6.
log2x = log2 + log 4
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7.
log6 − log5 = log x
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8.
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9.
log x − log 7 = log 3
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PC 12 LG 4 Worksheet (Logarithmic Equations)
17.
Answer Key
log( x + 2) + log( x −1) = 1
1.
100
16.
4, reject -2
2.
−9
10
17.
3, reject -4
3.
1010
18.
6, reject -5.667
4.
3
19.
5.
9
20.
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6.
4
21.
7.
6
5
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18.
log( 3x + 2) + log( x −1) = 2
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19.
log 2 x − log 2 ( x − 3) = 4
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20.
log 3 ( x − 2) − log 3 ( x + 1) = log 3 5
21
8.
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21.
(
)
log 3x 2 + 2x − 4 = 0
9.
4
10.
2
11.
2
12.
16
3
13.
18
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22.
log 5 ( x − 3) + log 5 ( x + 4 ) − log 5 x = log 5 5
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€
14.
81
15.
4, reject -2
16
5
No Solution,
−7
reject
4
−5
1,
3
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22.
6, reject -2
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